No GTV has pass-through for analogue video like composite (RCA).
Although it costs a lot more at $299
it might be a better idea to get a smart tv from Vizio, nice TV with Netflix and Hulu built in directly. Less complex and no need to worry about switching inputs.
The UI of Vizio GoogleTV is not designed for analogue video displays which is another factor to consider.
The cheapest option would be an AndroidTV device
, you could plug this into the TV running Android 2.3/4 and it might be good enough over analogue but these arent the most user friendly of systems.